Hi panda, congratulations! I think it depends from hospital to hospital re scans, i was referred straight to ePu for a scan after my first miscarriage without asking but I'd suggest you want to err on the side of caution and be prepared to push for it although lots of people on here have went gro a private to ease their minds. By 8 weeks you should definitely see a heartbeat and is generally a popular time to get one.
First week at home of mat leave, and it's been a busy one! I had a very embarrassing episode on Wednesday night where I ended up at the hospital for monitoring following noticing my pee in the bowl looked pink, I was nearly being kept overnight before the question "have you eaten beetroot was asked" - which it had. You have been warned ladies it's not just your fingers it dyes 
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When in the hospital though they had thought the baby wasn't breech and also engaged so I'm off to my consultants appointment today and going to demand a scan as want to be sure we know for sure how the baby is lying.
Lastly on my me me me post, I started NCT classes last night. The group were all lovely and the class was really helpful to start asking some of those questions that as a ftm you just don't know.
Given the name of the thread, it is poignant that even now I was still worried going to the class and being all "normal" pregnant that I was somehow jinxing things, it was the same on Wednesday as I had just received all my friends newborn clothes when I had the beetroot incident - unfortunately it's just the minefield being pregnant after mc brings!